Hundredths Place
The hundredths place is the second digit to the right of the decimal point. It tells us how many hundredths (1/100) a number has. Hundredths are smaller than tenths and are commonly seen in money (paise) and precise measurements.
When you divide something into 100 equal parts, each part is called one hundredth, written as 1/100 or 0.01.
What is Hundredths Place - Class 4 Maths (Decimals)?
The hundredths place is the second position after the decimal point. A digit in this place represents that many hundredths of a whole.
| Ones | . | Tenths | Hundredths |
|---|---|---|---|
| 2 | . | 3 | 5 |
In 2.35, the digit 5 is in the hundredths place. Its value is 5/100 = 0.05.
1 tenth = 10 hundredths | 1 whole = 100 hundredths | 1 hundredth = 0.01
Solved Examples
Example 1: Example 1: Identify the Hundredths Digit
Problem: What digit is in the hundredths place of 4.72?
Solution:
Step 1: The hundredths place is the second digit after the decimal point.
Step 2: In 4.72, the first digit after the decimal is 7 (tenths), the second is 2 (hundredths).
Answer: The digit in the hundredths place is 2.
Example 2: Example 2: Value of the Hundredths Digit
Problem: What is the value of 8 in 3.48?
Solution:
Step 1: 8 is in the hundredths place.
Step 2: Value = 8 × 1/100 = 8/100 = 0.08.
Answer: The value of 8 is 8 hundredths (0.08).
Example 3: Example 3: Write a Fraction as a Decimal
Problem: Write 25/100 as a decimal.
Solution:
Step 1: 25/100 = 25 hundredths.
Step 2: Write 2 in the tenths place and 5 in the hundredths place: 0.25.
Answer: 25/100 = 0.25
Example 4: Example 4: Write a Decimal as a Fraction
Problem: Write 0.09 as a fraction.
Solution:
Step 1: 0.09 = 9 hundredths = 9/100.
Answer: 0.09 = 9/100
Example 5: Example 5: Expanded Form
Problem: Write 6.43 in expanded form.
Solution:
6.43 = 6 + 0.4 + 0.03
= 6 ones + 4 tenths + 3 hundredths
= 6 + 4/10 + 3/100
Answer: 6 + 4/10 + 3/100
Example 6: Example 6: Money in Hundredths
Problem: Priya has 7 rupees and 35 paise. Write this as a decimal.
Solution:
Step 1: 35 paise = 35/100 rupees = 0.35 rupees.
Step 2: Total = 7 + 0.35 = 7.35.
Answer: ₹7.35
Example 7: Example 7: Place Value Chart
Problem: Place 18.06 in a place value chart.
Solution:
| Tens | Ones | . | Tenths | Hundredths |
|---|---|---|---|---|
| 1 | 8 | . | 0 | 6 |
Answer: 18.06 = 1 ten + 8 ones + 0 tenths + 6 hundredths.
Example 8: Example 8: Comparing Tenths and Hundredths
Problem: How many hundredths are equal to 3 tenths?
Solution:
Step 1: 1 tenth = 10 hundredths.
Step 2: 3 tenths = 3 × 10 = 30 hundredths.
Answer: 3 tenths = 30 hundredths (0.3 = 0.30)
Example 9: Example 9: Word Problem
Problem: Arjun measured a pencil as 12.75 cm long. What is the digit in the hundredths place, and what does it represent?
Solution:
Step 1: In 12.75, the hundredths digit is 5.
Step 2: It represents 5 hundredths of a cm = 0.05 cm.
Answer: The digit is 5, and it represents 5 hundredths of a centimetre (0.05 cm).
Key Points to Remember
- The hundredths place is the second digit after the decimal point.
- 1 hundredth = 1/100 = 0.01.
- 10 hundredths = 1 tenth, and 100 hundredths = 1 whole.
- In money, 1 paise = 1/100 of a rupee = 0.01 rupees.
- The hundredths place is 10 times smaller than the tenths place.
- Numbers like 0.50 and 0.5 have the same value (trailing zeros do not change value).
Practice Problems
- What digit is in the hundredths place of 5.63?
- Write 7/100 as a decimal.
- Write 0.04 as a fraction.
- What is the place value of 9 in 1.29?
- How many hundredths make 1 tenth?
- Write the expanded form of 3.17.
- Meera bought a chocolate for Rs.15.80. What digit is in the hundredths place of this amount?
Frequently Asked Questions
Q1. What is the hundredths place?
The hundredths place is the second digit after the decimal point. In 5.38, the digit 8 is in the hundredths place and represents 8/100 = 0.08.
Q2. How many hundredths make one whole?
100 hundredths make one whole. So 100/100 = 1.00 = 1.
Q3. How many hundredths make one tenth?
10 hundredths make one tenth. So 10/100 = 1/10 = 0.10 = 0.1.
Q4. Is 0.5 the same as 0.50?
Yes. Adding a zero after the last decimal digit does not change the value. 0.5 = 0.50 = 5/10 = 50/100.
Q5. How are hundredths used in money?
In Indian currency, 1 rupee = 100 paise. So 1 paise = 1/100 of a rupee = 0.01 rupees. An amount like Rs.4.75 means 4 rupees and 75 paise.
Q6. What is 0.01 as a fraction?
0.01 = 1/100. It represents one hundredth, or one part out of 100 equal parts.
Q7. How do you read a two-decimal-place number?
Read the whole part, say 'point', then read the tenths and hundredths digits. For example, 3.45 is read as 'three point four five' or 'three and forty-five hundredths'.
Q8. What is the difference between tenths and hundredths?
Tenths are the first digit after the decimal (1/10 = 0.1), hundredths are the second digit (1/100 = 0.01). A tenth is 10 times bigger than a hundredth.
Q9. Is the hundredths place in the NCERT Class 4 syllabus?
Yes. The hundredths place is covered in Class 4 NCERT Maths under the Decimals chapter. Students learn to read, write, and work with decimals up to two places.
